Some Characterizations of a Multivariate Lomax Distribution Within the Class of Generalised Mixtures of Exponential Distributions

Selection of the Lomax model through characterization results from amongst the class of continuous mixtures of exponential distributions has been examined. Properties covered are in main based on crude measures of hazard rate and mean residual life. Some closure properties have also been used for this purpose.

Multivariate Lomax distribution: properties and usefulness in reliability theory

A model incorporating the effect of a common environment on several components (structurally independent) of a system is developed. A multivariate generalization of the Lomax (Pareto type 2) distribution is obtained by mixing exponential variables. Its relationship to other multivariate distributions is discussed. Several properties of this distribution are reported and their usefulness in reliability theory indicated. Finally, a further generalization of this multivariate Lomax distribution is presented.

Multivariate Lomax distribution: properties and usefulness in reliability theory

A model incorporating the effect of a common environment on several components (structurally independent) of a system is developed. A multivariate generalization of the Lomax (Pareto type 2) distribution is obtained by mixing exponential variables. Its relationship to other multivariate distributions is discussed. Several properties of this distribution are reported and their usefulness in reliability theory indicated. Finally, a further generalization of this multivariate Lomax distribution is presented.